8-4 Generate Equivalent Fractions: Division

Front

What is an equivalent fraction?

Back

An equivalent fraction is a fraction that represents the same value as another fraction, even though the numbers may be different. For example, 1/2 is equivalent to 2/4.

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How do you generate equivalent fractions using division?

Back

To generate equivalent fractions using division, divide the numerator and the denominator of a fraction by the same non-zero number. For example, for the fraction 4/8, dividing both the numerator and denominator by 4 gives 1/2.

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What is the first step in finding equivalent fractions?

Back

The first step in finding equivalent fractions is to choose a number to multiply or divide both the numerator and denominator.

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Front

If you have the fraction 3/9, what is an equivalent fraction?

Back

An equivalent fraction for 3/9 is 1/3, obtained by dividing both the numerator and denominator by 3.

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Front

What is the relationship between the numerator and denominator in equivalent fractions?

Back

In equivalent fractions, the ratio of the numerator to the denominator remains the same, even if the actual numbers change.

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Front

How can you check if two fractions are equivalent?

Back

To check if two fractions are equivalent, cross-multiply and see if the products are equal. For example, for 1/2 and 2/4, check if 1*4 = 2*2.

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Front

What is the fraction 20/100 in its simplest form?

Back

The fraction 20/100 can be simplified to 1/5 by dividing both the numerator and denominator by 20.

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If you multiply the fraction 2/5 by 2, what is the result?

Back

Multiplying 2/5 by 2 gives 4/10, which is an equivalent fraction.

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What is the importance of understanding equivalent fractions?

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Understanding equivalent fractions is important because it helps in simplifying fractions, comparing them, and performing operations like addition and subtraction.

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Front

Can you create an equivalent fraction for 5/15?

Back

An equivalent fraction for 5/15 is 1/3, obtained by dividing both the numerator and denominator by 5.

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